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Finding the Fourth Proportional to 867.28, 1,294.58 and 752.53

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Solution

The fourth proportional to 867.28, 1,294.58 and 752.53 is: 1,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.28 : 1,294.58 = 752.53 : x
  2. Step 2: Convert to fraction form
    867.28/1,294.58 = 752.53/x
  3. Step 3: Cross multiply
    867.28x = 1,294.58 × 752.53
  4. Step 4: Simplify right side
    867.28x = 974,210.29
  5. Step 5: Solve for x
    x = 974,210.29/867.28
  6. Step 6: Final answer
    x = 1,123.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.